1956042 has 64 divisors (see below), whose sum is σ = 4924800. Its totient is φ = 570240.

The previous prime is 1956029. The next prime is 1956047. The reversal of 1956042 is 2406591.

It is a super-2 number, since 2×1956042² = 7652200611528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1955997 and 1956015.

It is not an unprimeable number, because it can be changed into a prime (1956047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21934 + ... + 22022.

It is an arithmetic number, because the mean of its divisors is an integer number (76950).

2^1956042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1956042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2462400).

1956042 is an abundant number, since it is smaller than the sum of its proper divisors (2968758).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1956042 is a wasteful number, since it uses less digits than its factorization.

1956042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1956042 is about 1398.5857142128. The cubic root of 1956042 is about 125.0621983791.

The spelling of 1956042 in words is "one million, nine hundred fifty-six thousand, forty-two".